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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 211A: Seminar in Algebra
Dr. Gil Goffer
UC San Diego
Can group laws be learned using random walks?
Abstract:
In various cases, a law that holds in a group with high probability, must actually hold for all elements. For instance, a finite group in which the commutator law \([x,y]=1\) holds with probability larger than \(5/8\), must be abelian. In the talk I'll discuss a probabilistic approach to laws on infinite groups, using random walks, and present results, joint with Greenfeld and Olshanskii, answering a few questions of Amir, Blachar, Gerasimova, and Kozma.
Tianyi Zheng, Alireza Golsefidy
October 21, 2024
3:00 PM
AP&M 7321
Research Areas
Probability Theory****************************
